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Finding the Third Proportional to 4.62 and 8.73

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Solution

The third proportional to 4.62 and 8.73 is: 16.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.62 : 8.73 = 8.73 : x
  2. Step 2: Convert to fraction form
    4.62/8.73 = 8.73/x
  3. Step 3: Cross multiply
    4.62x = 8.73 × 8.73
  4. Step 4: Simplify right side
    4.62x = 76.27
  5. Step 5: Solve for x
    x = 76.27/4.62
  6. Step 6: Final answer
    x = 16.50

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.